| 王硕,滕兆春.加热压电纤维复合材料圆板的横向自由振动[J].计算力学学报,2017,34(3):286~291 |
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| 加热压电纤维复合材料圆板的横向自由振动 |
| Transverse free vibration of heated piezoelectric fibre composite materials circular plates |
| 投稿时间：2016-02-02 修订日期：2016-03-18 |
| DOI：10.7511/jslx201703004 |
| 中文关键词: 压电纤维复合材料 圆板 自由振动 固有频率 打靶法 |
| 英文关键词:piezoelectric fibre composite materials circular plates free vibration natural frequency shooting method |
| 基金项目:国家自然科学基金（11662008）资助项目 |
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| 摘要点击次数: 1667 |
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| 中文摘要: |
| 基于经典薄板理论和极正交各向异性材料的本构理论，建立了加热压电纤维复合材料圆板的线性振动控制微分方程。采用打靶法分别获得了加热压电纤维复合材料圆板在周边固支和简支情况下，无量纲固有频率随温度和电场强度变化的关系曲线，并分析了压电纤维体积分数、刚度参数、电场强度和温度变化对压电纤维复合材料圆板无量纲固有频率的影响。结果表明，一定体积分数或者电场强度下，压电纤维复合材料圆板的无量纲固有频率都随温度的升高而单调下降；同一温度下，刚度参数越小，无量纲固有频率越低；电场强度越大，无量纲固有频率越高。 |
| 英文摘要: |
| Based on the classical thin plate theory and the constitutive theory for orthotropic materials,the linear differential equations of vibration for circular plate of heated piezoelectric fibre composite materials are derived.By using a shooting method,the relationship curves of the dimensionless natural frequencies of the heated piezoelectric fibre composite circular plate versus temperature rise and electric field strength change are presented with clamped and simply supported boundary conditions.And the influence of the volume fraction of piezoelectric fibre,stiffness parameters,electric field strength and temperature rise on the dimensionless natural frequencies of piezoelectric fibre composite materials circular plate is also discussed.The results show that the dimensionless natural frequency of the piezoelectric fibre composite material circular plate monotonically decreases with the temperature.It decreases with decreasing the stiffness parameters,but increases with increasing electric field strength at certain fixed values of temperature. |
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